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- Preadditive_category abstract "In mathematics, specifically in category theory, a preadditive category is a category that is enriched over the monoidal category of abelian groups. In other words, the category C is preadditive if every hom-set Hom(A,B) in C has the structure of an abelian group, and composition of morphisms is bilinear.A preadditive category is also called an Ab-category, after the notation Ab for the category of abelian groups. Some authors have used the term additive category for preadditive categories, but here we follow the current trend of reserving this word for certain special preadditive categories (see special cases below).".
- Preadditive_category wikiPageID "59521".
- Preadditive_category wikiPageLength "11295".
- Preadditive_category wikiPageOutDegree "75".
- Preadditive_category wikiPageRevisionID "665966800".
- Preadditive_category wikiPageWikiLink 0_(number).
- Preadditive_category wikiPageWikiLink 1_(number).
- Preadditive_category wikiPageWikiLink Abelian_category.
- Preadditive_category wikiPageWikiLink Abelian_group.
- Preadditive_category wikiPageWikiLink Abstract_nonsense.
- Preadditive_category wikiPageWikiLink Additive_category.
- Preadditive_category wikiPageWikiLink Bilinear_map.
- Preadditive_category wikiPageWikiLink Category:Additive_categories.
- Preadditive_category wikiPageWikiLink Category_(mathematics).
- Preadditive_category wikiPageWikiLink Category_of_abelian_groups.
- Preadditive_category wikiPageWikiLink Category_of_medial_magmas.
- Preadditive_category wikiPageWikiLink Category_of_modules.
- Preadditive_category wikiPageWikiLink Category_theory.
- Preadditive_category wikiPageWikiLink Closed_monoidal_category.
- Preadditive_category wikiPageWikiLink Coequalizer.
- Preadditive_category wikiPageWikiLink Cokernel.
- Preadditive_category wikiPageWikiLink Commutative_property.
- Preadditive_category wikiPageWikiLink Commutative_ring.
- Preadditive_category wikiPageWikiLink Coproduct.
- Preadditive_category wikiPageWikiLink Direct_sum.
- Preadditive_category wikiPageWikiLink Distinct.
- Preadditive_category wikiPageWikiLink Distributive_property.
- Preadditive_category wikiPageWikiLink Endomorphism.
- Preadditive_category wikiPageWikiLink Endomorphism_ring.
- Preadditive_category wikiPageWikiLink Enriched_category.
- Preadditive_category wikiPageWikiLink Epimorphism.
- Preadditive_category wikiPageWikiLink Equaliser_(mathematics).
- Preadditive_category wikiPageWikiLink Field_(mathematics).
- Preadditive_category wikiPageWikiLink Finite_set.
- Preadditive_category wikiPageWikiLink Function_(mathematics).
- Preadditive_category wikiPageWikiLink Functor.
- Preadditive_category wikiPageWikiLink Functor_category.
- Preadditive_category wikiPageWikiLink Group_(mathematics).
- Preadditive_category wikiPageWikiLink Group_homomorphism.
- Preadditive_category wikiPageWikiLink Ideal_(ring_theory).
- Preadditive_category wikiPageWikiLink Identity_element.
- Preadditive_category wikiPageWikiLink If_and_only_if.
- Preadditive_category wikiPageWikiLink Infinity.
- Preadditive_category wikiPageWikiLink Initial_and_terminal_objects.
- Preadditive_category wikiPageWikiLink Jacobson_radical.
- Preadditive_category wikiPageWikiLink Kernel_(algebra).
- Preadditive_category wikiPageWikiLink Kernel_(category_theory).
- Preadditive_category wikiPageWikiLink Mathematics.
- Preadditive_category wikiPageWikiLink Matrix_(mathematics).
- Preadditive_category wikiPageWikiLink Module_(mathematics).
- Preadditive_category wikiPageWikiLink Monoid.
- Preadditive_category wikiPageWikiLink Monoidal_category.
- Preadditive_category wikiPageWikiLink Monomorphism.
- Preadditive_category wikiPageWikiLink Morphism.
- Preadditive_category wikiPageWikiLink Natural_transformation.
- Preadditive_category wikiPageWikiLink Nicolae_Popescu.
- Preadditive_category wikiPageWikiLink Normal_morphism.
- Preadditive_category wikiPageWikiLink Pre-abelian_category.
- Preadditive_category wikiPageWikiLink Product_(category_theory).
- Preadditive_category wikiPageWikiLink Quotient_ring.
- Preadditive_category wikiPageWikiLink Ring_(mathematics).
- Preadditive_category wikiPageWikiLink Ring_homomorphism.
- Preadditive_category wikiPageWikiLink Trivial_group.
- Preadditive_category wikiPageWikiLink Zero_morphism.
- Preadditive_category wikiPageWikiLink Zero_ring.
- Preadditive_category wikiPageWikiLinkText "''R''-linear".
- Preadditive_category wikiPageWikiLinkText "-linear categories".
- Preadditive_category wikiPageWikiLinkText "-linear category".
- Preadditive_category wikiPageWikiLinkText "-linear functors".
- Preadditive_category wikiPageWikiLinkText "Preadditive categories".
- Preadditive_category wikiPageWikiLinkText "Preadditive category".
- Preadditive_category wikiPageWikiLinkText "Preadditive_category".
- Preadditive_category wikiPageWikiLinkText "Preadditive_category#Additive functors".
- Preadditive_category wikiPageWikiLinkText "here".
- Preadditive_category wikiPageWikiLinkText "preadditive categories".
- Preadditive_category wikiPageWikiLinkText "preadditive category".
- Preadditive_category wikiPageWikiLinkText "preadditive".
- Preadditive_category wikiPageUsesTemplate Template:Fact.
- Preadditive_category wikiPageUsesTemplate Template:Main.
- Preadditive_category wikiPageUsesTemplate Template:Mvar.
- Preadditive_category subject Category:Additive_categories.
- Preadditive_category hypernym Category.
- Preadditive_category type TelevisionStation.
- Preadditive_category comment "In mathematics, specifically in category theory, a preadditive category is a category that is enriched over the monoidal category of abelian groups. In other words, the category C is preadditive if every hom-set Hom(A,B) in C has the structure of an abelian group, and composition of morphisms is bilinear.A preadditive category is also called an Ab-category, after the notation Ab for the category of abelian groups.".
- Preadditive_category label "Preadditive category".
- Preadditive_category sameAs Q2099981.
- Preadditive_category sameAs 前加法圏.
- Preadditive_category sameAs Pre-additieve_categorie.
- Preadditive_category sameAs m.0g6h1.
- Preadditive_category sameAs Предаддитивная_категория.
- Preadditive_category sameAs Q2099981.
- Preadditive_category sameAs 預可加範疇.
- Preadditive_category wasDerivedFrom Preadditive_category?oldid=665966800.
- Preadditive_category isPrimaryTopicOf Preadditive_category.